October 2015 Wilson Area School District Planned Course Guidewasd.ss5.sharpschool.com/UserFiles/Servers/Server_55… · · 2015-12-21Wilson Area School District Planned Course Guide

Board Approved October 2015

Wilson Area School District Planned Course Guide

Title of planned course: Pre-Algebra Subject Area: Mathematics Grade Level: 8 Course Description: Prerequisites: Complete 7th grade math. The course is the study of Variables, Expressions, and Integers, Solving Equations, Factors, Fractions, and Exponents, Rational Numbers and Equations, Linear Functions, Volume, and Transformations. Applications of real-world problems will be included. Course requirements include: tests, quizzes, projects, presentations, notebook, daily homework, and usage of calculators. It is highly recommended that each student have a calculator. Time/Credit for this Course: 1.0 Curriculum Writing Committee: Kathleen Zane, Julia Morrissey


Wilson Area School District Curriculum Map

August: Variables, Expressions, and Integers (8-11 class periods) September: Variables, Expressions, and Integers (cont.) Solving Equations (11-14 class periods) October: Multi-step Equations (12-15 class periods) Factors, Fractions, and Exponents (12-15 class periods) November: Factors, Fractions, and Exponents (cont.) Linear Functions (31-40 class periods) December: Linear Functions (cont.) January: Linear Functions (cont.) Systems of Equations (10-14 class periods) February: Systems of Equations (cont.) Geometry (16-19 class periods) March: Geometry (cont.) Transformations (9-12 class periods) Probability (7-9 class periods) April: Probability (cont.) Inequalities (10-15 class periods) May: Inequalities (cont.) Applications/ Prior Topics (10-15 class periods) June: Applications/ Prior Topics (cont.)


Wilson Area School District Planned Course Materials

Course Title: Pre-Algebra Textbook: Pre-Algebra Larson/Houghton Mifflin © 2012 Supplemental Books: Pre-Algebra Holt/Rinehart/Winston © 2008 Teacher Resources:

Textbooks Worksheets Internet Teacher created worksheets Additional worksheets and cooperative learning books


Curriculum Scope & Sequence

Planned Course: Pre-Algebra Unit 1: Variables, Expressions, and Integers Time frame: 8-11 class periods Anchor(s) or adopted anchor: M08.B-E.1.1.2, M08.A-N.1.1, CC.2.1.8.E.4, A1.1.1.1.1 Essential content/objectives: At end of the unit, students will be able to:

Evaluate and write variable expressions Use powers to describe repeated multiplication Represent numbers using exponential and square root forms Identify and plot points in a coordinate plane and use them to graph functions

Core Activities: Students will complete/participate in the following:

Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Create flash cards to memorize required square roots and cube roots

Extensions:

Work with more challenging patterns and problems Remediation:

Additional exercises Less complex numbers to work with to build prior knowledge Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring

Instructional Methods:

Higher order thinking questions Individual, pair, and small group practice Warm ups Teacher directed examples Demonstration of how to use flashcards

Materials & Resources:

Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Activity supplies – flash cards Calculators


Assessments: Warm Ups Teacher observation of student work Homework assignments Test/quizzes Questioning techniques



Planned Course: Pre-Algebra Unit 2: Solving Equations Time frame: 11-14 class periods Anchor(s) or adopted anchor: M08.B-E.3.1.2 Essential content/objectives: At end of the unit, students will be able to:

Use properties of addition and multiplication Use the distributive property with algebraic expressions Simplify variable expressions Solve one step equations with variables Solve equations involving decimals

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Use visual aids to assist in learning Work in centers to review properties

Extensions:

Use less technology to assist in operations with numbers Remediation:

Additional exercises Use more technology to assist in operations with numbers Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring


Teacher directed examples Higher order thinking questions Individual, pair, and whole group practice Calculator instruction Warm ups Whiteboard activity


Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Calculators





Planned Course: Pre-Algebra Unit 3: Multi-Step Equations Time frame: 12-15class periods Anchor(s) or adopted anchor: M08.B-E.3.1.1, M08.B-E.3.1.2 Essential content/objectives: At end of the unit, students will be able to:

Solve two-step equations Use distributive property and combining like terms Solve equations with like terms and parentheses Solve equations with variables on both sides

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Work in centers to practice solving Choose between projects (headline story, word problems, or mobile)

Extensions:

Solve more difficult problems Design real world application problems Peer tutoring

Remediation:

Additional exercises Chunk problems into parts to help organize students Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring


Teacher directed examples Higher order thinking questions Individual, pair, and small group practice Warm ups Student directed projects


Materials & Resources: Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Calculators Project supplies – paper, string, scissors, hole punch, chromebooks

Assessments:

Warm Ups Teacher observation of student work Homework assignments Test/quizzes Project



Planned Course: Pre-Algebra Unit 4: Factors, Fractions, and Exponents Time frame: 12-15 class periods Anchor(s) or adopted anchor: M08.B-E.1.1.1, M08.B-E.1.1.3, M08.B-E.1.1.4 Essential content/objectives: At end of the unit, students will be able to:

Simplify exponential expressions Multiply and divide powers Work with numbers in scientific notation

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Student exploration of negative and zero exponents

Extensions:

Demonstrate multi-step operations on numbers in scientific notation with no calculator

Remediation:

Use more technology to assist in representing data and calculating Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring


Teacher directed examples Higher order thinking questions Individual, pair, and small group practice Warm ups


Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Calculators

Assessments:

Warm Ups Teacher observation of student work Homework assignments Test/quizzes



Planned Course: Pre-Algebra Unit 5: Linear Functions Time frame: 31-40 class periods Anchor(s) or adopted anchor: M08.B-E.2.1, M08.B-F.1.1, M08.B-F.2.1, A1.1.2.1 Essential content/objectives: At end of the unit, students will be able to:

Use graphs to represent relations and functions Find solutions of equations in two variables Use x- and y-intercepts to graph linear equations Solve for y in a linear equation Find and interpret slopes of lines equations in slope-intercept form. Write linear equations. Write equations of parallel and perpendicular lines. Use function notation to describe lines.

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Participate in a physical activity to help with concepts of slope and line of best fit Whiteboard activities to practice skills

Extensions:

Work with problems that have fractional and decimal values Consider what happens when two linear equations come together

Remediation:

Additional exercises Break problems into smaller sections Chunk problems into component parts Give more instructions on what process to use for particular problems Chapter review exerces which revisits concepts and vocabulary Teacher/peer tutoring


Teacher directed examples Warm ups Higher order thinking questions Individual, pair, and small group practice Teacher directed physical activity


Materials & Resources: Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Calculators Activity supplies – tape, rope

Assessments:

Warm Ups Teacher observation of student work Homework assignments Test/quizzes Questioning techniques Activity observation



Planned Course: Pre-Algebra Unit 7: Systems of Equations Time frame: 10-14 class periods Anchor(s) or adopted anchor: M08.B-E.3.1.3-5, A1.1.2.2 Essential content/objectives: At end of the unit, students will be able to:

Connect solving equations with solving systems of equations Identify solutions of systems of linear equations in two variables Solve systems of linear equations in two variables by graphing Solve a system of linear equations using the substitution method

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra

Complete examples of problems in class Participate in individual, pair, and small group practice of conceptstems by

elimination Remediation:

Use of technology to assist in graphing solutions Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring


Teacher directed examples Warm ups Individual, pair, and whole group practice Higher ordering questioning


Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Individual whiteboards Calculators





Planned Course: Pre-Algebra Unit 8: Geometry Time frame: 16-19 class periods Anchor(s) or adopted anchor: M08.C-G.3.1, M08.C-G.2.1, A1.1.1.1.2 Essential content/objectives: At end of the unit, students will be able to:

Determine area and circumference of circles Find volume of spheres Find volume of cylinders Find volume of cones Use Pythagorean Theorem Apply all topics to applications

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Relate different formulas to each other Read non-fiction on the history of the Pythagorean Theorem

Extensions:

Work with more complex multi-step problems Remediation:

Use visual aids Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring


Teacher directed examples Warm ups Higher order thinking questions Individual, pair, and small group practice Partner project


Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets)




Curriculum Scope & Sequence Planned Course: Pre-Algebra Unit 9: Transformations Time frame: 9-12 class periods Anchor(s) or adopted anchor: M08.C-G.1.1 Essential content/objectives: At end of the unit, students will be able to:

Translate points and figures Reflect points and figures Rotate points and figures Dilate points and figures

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts

Extensions:

Look for patterns to develop shortcuts to transformations Remediation:

Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring Visual and technological aids


Teacher directed examples Warm ups Higher order thinking questions Individual, pair, and small group practice


Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets)

Assessments:

Warm Ups Teacher observation of student work Homework assignments Test/quizzes



Planned Course: Pre-Algebra Unit 10: Probability Time frame: 7-9 class periods Anchor(s) or adopted anchor: M08.D-S.1.1, M08.D-S.1.2 Essential content/objectives: At end of the unit, students will be able to:

Write lines of best fit to match scatterplots Use two-way tables to find information

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Connect lines of best fit to linear equations Complete project to connect line of best fit to scatterplots

Extensions:

Extend knowledge into deeper applications. Remediation:

Teacher/peer tutoring Instructional Methods:



Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Calculators Activity supplies – tape measurers

Assessments:

Warm Ups Teacher observation of student work Homework assignments Test/quizzes Project



Planned Course: Pre-Algebra Unit 11: Inequalities Time frame: 9-12 class periods Anchor(s) or adopted anchor:A1.1.3.1 Essential content/objectives: At end of the unit, students will be able to:

Graph inequalities Solve one-step inequalities by using addition and subtraction Solve one-step inequalities by using multiplication and division Solve inequalities with more than one operation Solve inequalities with variables on both sides Solve and graph compound inequalities

Core Activities: Students will complete/participate in the following: Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small group practice of concepts Whiteboard activities Complete centers to relate inequalities to real world situations

Extensions:

Make connections between solving equations and solving inequalities Work with more difficult problems

Remediation:

Chapter review exercises which revisits concepts and vocabulary Teacher/peer tutoring




Warm Ups Textbook Projector Teacher directed notes Handouts (worksheets) Calculators Individual whiteboards


Assessments: Warm Ups Teacher observation of student work Homework assignments Test/quizzes



Planned Course: Pre-Algebra Unit 12: Applications/Prior Topics Time frame: 10-15 class periods Anchor(s) or adopted anchor: CC.2.2.HS.D.9, CC.2.2.7.B.3, A1.1.1.4.1, A1.1.1.5.1, A1.1.2.1, A1.2.1.1, A1.2.1.2 Essential content/objectives: At end of the unit, students will be able to:

Demonstrate proficiency on objectives throughout the year in order to prepare for Keystone testing in 9th grade

Core Activities: Students will complete/participate in the following:

Define key terms relating to Pre-Algebra Complete examples of problems in class Participate in individual, pair, and small

group practice of concepts Create a presentation on prior learned topics Present information to the class

Extensions:

Students can use creativity to enhance presentations Remediation:

Teacher/peer tutoring Group work to help struggling students


Higher order thinking activities Individual, pair, and small group practice Student and Teacher directed examples


Textbook Student and Teacher directed notes Handouts (worksheets) – Student designed Calculators

Assessments:

Teacher observation and evaluation of student work Homework assignments Test/quizzes

Documents

October 2015 Wilson Area School District Planned Course Guidewasd.ss5.sharpschool.com/UserFiles/Servers/Server_55… · · 2015-12-21Wilson Area School District Planned Course Guide